Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
9th Edition
ISBN: 9780134469041
Author: Peter Tannenbaum
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 57E
At the time of the 2000 Census, California's standard quota was 52.45. Under Jefferson's method, California would get an apportionment of 55 seats. What does this say about Jefferson's method?
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The table to the right shows four states, their 2010 populations, and their
number of seats in a particular branch of government, which has a total of 377
seats. For state A, find the standard quota. Use the value 261 million for the total
population. Explain whether each state is relatively under- or overrepresented in
the House.
...
Select the correct choice below and fill in the answer box to complete your choice.
(Round to two decimal places as needed.)
O A. State A is underrepresented because its standard quota of
OB. State A is overrepresented because its standard quota of
State Population Seats
A 16,611,000 23
17,137,000 25
10,872,000 16
13,831,000 19
BCD
is more than its number of representatives, 23.
is less than its number of representatives, 23.
Now the city expands to cover a new district called district C. As a result, the city hires
10 new police officers to cover the new district. This brings the total number of officers
to 50. The total population of the city is shown in the table. Complete the table using
Hamilton's method to apportion the police offices for the populations after 2000. Round
all standard quotas and the divisor to 7 decimal places if needed. You can use a
spreadsheet to help you figure out an answer or calculate using a calculator.
Find the divisor. Enter your answer in the space provided below.
Divisor:
Population
2000
Initial Quotas
Final Quotas
State
Standard
Quotas
А
6,550
11,520
4,698
22,768
B
C
Total
21.)
7.) Did a new state paradox occur? Explain your answer.
Write your response below:
Apportion 10 representatives from the college town using Jefferson's Plan of Apportionment (rounding down). Use the modified
divisor d=2100 to find the modified quota from North.
North 8700
South 5600
East 7200
West 3500
Round your answer to 0 decimal places.
Addunu
Chapter 4 Solutions
Excursions in Modern Mathematics, Books a la carte edition (9th Edition)
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- There are 435 seats in the U.S. House of Representatives. According to the 2010 U.S. Census, 8.14% of the U.S. population lived in Texas. Compute Texas's standard quota in 2010 (rounded to two decimal places). Texas's standard quota in 2010 was Answerarrow_forwardWhich is the correct answer to the question.arrow_forwardUse Webster's method of apportionment to solve the following problem. 2. Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: the standard divisor, the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats 150 State Population Standard Rounded Modified Modified Quotas Quotas Quotas Rounded Quotas A 1,895,500 1,234,500 845,200 В C 399,120 500,680 4,875,000 D E Total Standard Divisor Modified Divisorarrow_forward
- Please help with letter aarrow_forwardIn the apportionment of the House of Representatives based on the 1790 Census, there are 15 states. At that time Maine was still considered part of Massachusetts. If Maine had been a separate state, it would have shared in the distribution of the seats in the House. In the 1790 census, Maine's population was 96,643. Subtract this number from Massachusetts' population and then answer the question .State_______________ Population Connecticut_______ 237,655 Delaware______________59,096 Georgia_________________82,548 Kentucky_______________73,677 Maryland_______________319,728 Massachusetts___________475,199 New Hampshire___________141,899 New Jersey_________________184,139 New York__________________340,241 North Carolina______________395,005 Pennsylvania________________433,611 Rhode Island__________________69,112 South Carolina______________249,073 Vermont_____________________85,341 Virginia______________________747,550 TOTAL_______________________3,893,874 What are the standard quotas…arrow_forwardUse Webster's method of apportionment to solve the following problem. 2. Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: the standard divisor, • the modified divisor, and the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats 150 State Population Standard Rounded Modified Modified Quotas Quotas Quotas Rounded Quotas A 1,895,500 1,234,500 845,200 399,120 500,680 4,875,000 B D E Total Standard Divisor Modified Divisorarrow_forward
- Of the 15 states in the Union when the issue of apportionment for the House of Representatives was first taken up in 1794, let's consider Kentucky, which had a population of 72677, and New Jersey, which had a population of 184139. The total population as of the 1790 census was 3893874 individuals, and the size of the House of Representatives was 105. (a) What was the standard quota for Kentucky? Include at least three decimal places of accuracy. Standard quota: (b) What was the standard quota for New Jersey? Include at least three decimal places of accuracy. Standard quota: (c) What is the standard divisor for this apportionment exercise? Include at least one decimal place.Standard divisor:arrow_forwardPlease show working outs.arrow_forwardIn the 2010 census, the population of state A in thousands was 4,773, State B was 2,986, and State C was 4,587. Apportion 16 representative seats to these three states. Assign the seats using the Hamilton apportionment method. The representation includes 5 members from State Aarrow_forward
- Use Webster's method of apportionment to solve the following problem. 2. Suppose a nation has 5 states, with populations shown in the chart below. The representative body had 150 seats. Find: • the standard divisor, the modified divisor, and • the distribution of representatives to each state. Then complete the table. Round all standard and modified quotas to 7 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Representative Seats State A B C Total Standard Divisor Modified Divisor 150 Population 1,895,500 1,234,500 845,200 399.120 500.680 4,875,000 Standard Rounded Modified Modified Quotas Quotas Rounded Quotas Quotasarrow_forwardConsider a fictional country with a population of 430,665 that is divided into 5 provinces, as shown in the table below. The country's constitution provides for 13 representatives to the lower house of the legislature. These representatives are allocated on the basis of province population. Use the Jefferson Apportionment Plan to find the number of representatives for each province by completing the table. Use modified standard divisor 30,000. Round values in the Quotient column to the nearest hundredth. Province Population Quotient Number of Representatives Kennebec 61,229 South Bay 38,832 North Island 94,721 Lakeland 167,386 Montbleu 68,497arrow_forwardA country consists of 20 states. There are 522 seats in the Congress which are to be apportioned among the 20 states to their respective population. The following table shows the population of the 20 states. Use a spreadsheet program to answer the following questions. Round all standard quotas, modified quotas, and the divisor to 5 decimal places if needed. You can use a spreadsheet to help you figure out an answer or calculate using a calculator. Stat Populati Standa Adams' Webste Modifi Modifi Adams' Webste Advantage on rd S r's ed ed S r's or e Quotas Rounde Rounde Quotas Quotas Modifi Modifi Disadvant d Up Quotas Quotas Adam Webste Rounde Rounde d for for ed ed age A 413,875 B 500,032 397,004 D 360,874 E 193,993 F 131,279 G 76,121 H 297,022 I 94,239 J 423,566 K 565,883 L 473,525 M 399,170 N 403,576 100,904 P 73,143 Q 360,997 R 410,181 S 456,755 T 139,361 Tota 6,271,50 Seats: 522arrow_forward
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